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Finding the Third Proportional to 117,018 and 260,319

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Solution

The third proportional to 117,018 and 260,319 is: 579,107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,018 : 260,319 = 260,319 : x
  2. Step 2: Convert to fraction form
    117,018/260,319 = 260,319/x
  3. Step 3: Cross multiply
    117,018x = 260,319 × 260,319
  4. Step 4: Simplify right side
    117,018x = 67,765,981,761
  5. Step 5: Solve for x
    x = 67,765,981,761/117,018
  6. Step 6: Final answer
    x = 579,107.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.